GCD of 842, 834, 332, 914 Calculator

Given Input numbers are 842, 834, 332, 914

In the factoring method, we have to find the divisors of all numbers

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

GCD of numbers is the greatest common divisor

So, the GCD (842, 834, 332, 914) = 2.

Given numbers are 842, 834, 332, 914

The list of prime factors of all numbers are

Prime factors of 842 are 2 x 421

Prime factors of 834 are 2 x 3 x 139

Prime factors of 332 are 2 x 2 x 83

Prime factors of 914 are 2 x 457

The highest common occurrence is 2¹

Therefore, GCD of 842, 834, 332, 914 is 2.

Given numbers are 842, 834, 332, 914

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(842, 834) = 351114

GCD(842, 834) = ( 842 x 834 ) / 351114

= 842 / 834

= 842

Step2:

LCM(2, 332) = 332

GCD(2, 332) = ( 2 x 332 ) / 332

= 2 / 332

= 2

Step3:

LCM(2, 914) = 914

GCD(2, 914) = ( 2 x 914 ) / 914

= 2 / 914

= 2

So, Greatest Common Divisor of 842, 834, 332, 914 is 2

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Given numbers are 842, 834, 332, 914
The greatest common divisor of numbers 842, 834, 332, 914 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 834, 332, 914 is 2.

1. What is the GCD of 842, 834, 332, 914?

GCD of given numbers 842, 834, 332, 914 is 2

2. How to calculate the greatest common divisor of 842, 834, 332, 914?

We can find the highest common divisor of 842, 834, 332, 914 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 842, 834, 332, 914 i.e 2.

3. How can I use the GCD of 842, 834, 332, 914Calculator?

Out the numbers 842, 834, 332, 914 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.